3 papers
math.PR2026
Large time behaviour for the semigroup of the kinetic Brownian motion in the plane
Magalie Bénéfice, Michel Bonnefont, Marc Arnaudon +1
We establish an integration by parts formula for the semi-group in time of the kinetic Brownian motion in the Euclidean plane together with its speed in the circle. The sto…
math.AP2025
Lower bounds for the spectral gap and an extension of the Bonnet-Myers theorem
Michel Bonnefont, El Maati Ouhabaz
On a fairly general class of Riemannian manifolds M, we prove lower estimates in terms of the Ricci curvature for the spectral bound (when M has infinite volume) and for the spectr…
math.PR2024
A coupling strategy for Brownian motions at fixed time on Carnot groups using Legendre expansion
Marc Arnaudon, Magalie Bénéfice, Michel Bonnefont +1
We propose a new simple construction of a coupling at a fixed time of two sub-Riemannian Brownian motions on the Heisenberg group and on the free step 2 Carnot groups. The construc…